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Author: Ron Eglash
Publisher:
ISBN: 9780813526140
Category : Mathematics
Languages : en
Pages : 258
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Book Description
Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.
Author: Ron Eglash
Publisher:
ISBN: 9780813526140
Category : Mathematics
Languages : en
Pages : 258
Get Book Here
Book Description
Fractals are characterized by the repetition of similar patterns at ever-diminishing scales. Fractal geometry has emerged as one of the most exciting frontiers on the border between mathematics and information technology and can be seen in many of the swirling patterns produced by computer graphics. It has become a new tool for modeling in biology, geology, and other natural sciences. Anthropologists have observed that the patterns produced in different cultures can be characterized by specific design themes. In Europe and America, we often see cities laid out in a grid pattern of straight streets and right-angle corners. In contrast, traditional African settlements tend to use fractal structures-circles of circles of circular dwellings, rectangular walls enclosing ever-smaller rectangles, and streets in which broad avenues branch down to tiny footpaths with striking geometric repetition. These indigenous fractals are not limited to architecture; their recursive patterns echo throughout many disparate African designs and knowledge systems. Drawing on interviews with African designers, artists, and scientists, Ron Eglash investigates fractals in African architecture, traditional hairstyling, textiles, sculpture, painting, carving, metalwork, religion, games, practical craft, quantitative techniques, and symbolic systems. He also examines the political and social implications of the existence of African fractal geometry. His book makes a unique contribution to the study of mathematics, African culture, anthropology, and computer simulations.
Author: Paulus Gerdes
Publisher: Cambridge University Press
ISBN: 9780883857151
Category : Juvenile Nonfiction
Languages : en
Pages : 236
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Book Description
This book draws on geometric ideas from cultural activities from Subsaharan Africa to develop mathematical reasoning.
Author: Dirk Huylebrouck
Publisher: Springer
ISBN: 3030040372
Category : Mathematics
Languages : en
Pages : 235
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Book Description
This volume on ethnomathematics in Central Africa fills a gap in the current literature, focusing on a region rarely explored by other publications. It highlights the discovery of the Ishango rod, which was found to be the oldest mathematical tool in humanity's history, thereby shifting the origin of mathematics to the heart of Africa, and explores the different scientific hypotheses that emerged as a result. While it contains some high-level mathematics, the non-mathematical reader can easily skip these portions and enjoy the book’s survey of African history, culture, and art.
Author: Kenneth Falconer
Publisher: OUP Oxford
ISBN: 0191663441
Category : Mathematics
Languages : en
Pages : 153
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Book Description
Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
Author: Claudia Zaslavsky
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 360
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Book Description
Study by a mathematical scholar on the ways in which African people count, keep time and records, play games, use geometry in art and architecture, etc. Based on research in Nigeria and East Africa.
Author: Robert Farris Thompson
Publisher: Vintage
ISBN: 0307874338
Category : Art
Languages : en
Pages : 337
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Book Description
This landmark book shows how five African civilizations—Yoruba, Kongo, Ejagham, Mande and Cross River—have informed and are reflected in the aesthetic, social and metaphysical traditions (music, sculpture, textiles, architecture, religion, idiogrammatic writing) of black people in the United States, Cuba, Haiti, Trinidad, Mexico, Brazil and other places in the New World.
Author: Anne H. Berry
Publisher: Simon and Schuster
ISBN: 1621537862
Category : Design
Languages : en
Pages : 484
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Book Description
The Black Experience in Design spotlights teaching practices, research, stories, and conversations from a Black/African diasporic lens. Excluded from traditional design history and educational canons that heavily favor European modernist influences, the work and experiences of Black designers have been systematically overlooked in the profession for decades. However, given the national focus on diversity, equity, and inclusion in the aftermath of the nationwide Black Lives Matter protests in the United States, educators, practitioners, and students now have the opportunity—as well as the social and political momentum—to make long-term, systemic changes in design education, research, and practice, reclaiming the contributions of Black designers in the process. The Black Experience in Design, an anthology centering a range of perspectives, spotlights teaching practices, research, stories, and conversations from a Black/African diasporic lens. Through the voices represented, this text exemplifies the inherently collaborative and multidisciplinary nature of design, providing access to ideas and topics for a variety of audiences, meeting people as they are and wherever they are in their knowledge about design. Ultimately, The Black Experience in Design serves as both inspiration and a catalyst for the next generation of creative minds tasked with imagining, shaping, and designing our future.
Author: German A. Duarte
Publisher: transcript Verlag
ISBN: 3839428297
Category : Social Science
Languages : en
Pages : 397
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Book Description
Fractals suggest recursivity, infinity and the repetition of a principle of order. They are digital pictures of the universe's continuous movement ignored by mankind during millennia. This book investigates the relationship existing between geometries and technology, and how it guided cognitive processes and thus the organization of narrative spaces. The author proposes a new approach for the study of media remarking that from Bacon's camera obscura to von Neumann's computers both geometries and technology strongly influenced the organization of narrative spaces, which acquired a fractal character.
Author: Abdul Karim Bangura
Publisher: University Press of America
ISBN: 0761853480
Category : Education
Languages : en
Pages : 227
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Book Description
This is the first comprehensive text on African Mathematics that can be used to address some of the problematic issues in this area. These issues include attitudes, curriculum development, educational change, academic achievement, standardized and other tests, performance factors, student characteristics, cross-cultural differences and studies, literacy, native speakers, social class and differences, equal education, teaching methods, knowledge level, educational guidelines and policies, transitional schools, comparative education, other subjects such as physics and social studies, surveys, talent, educational research, teacher education and qualifications, academic standards, teacher effectiveness, lesson plans and modules, teacher characteristics, instructional materials, program effectiveness, program evaluation, African culture, African history, Black studies, class activities, educational games, number systems, cognitive ability, foreign influence, and fundamental concepts. What unifies the chapters in this book can appear rather banal, but many mathematical insights are so obvious and so fundamental that they are difficult to absorb, appreciate, and express with fresh clarity. Some of the more basic insights are isolated by accounts of investigators who have earned their contemporaries' respect. Winner of the 2012 Cecil B. Currey Book Award.
Author: James Barta
Publisher: National
ISBN: 9780873537070
Category : Ethnomathematics
Languages : en
Pages : 163
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Book Description
For most people, the word mathematics is a noun. But for many people in different cultures, mathematics is not simply something they learn in school but something they do as an intrinsic part of their everyday lives. This book is a guide for teachers who would like to enhance their mathematics instruction by integrating it with examples and activities from cultures throughout the world. It provides culturally situated examples, each linked to Common Core objectives that show how mathematics can be so much more than a story problem or an exercise in a worksheet with little or no context. The eleven chapters provide a range of activities from around the world that teach students key math concepts while introducing them to a diversity of cultures. For example: In a Mayan village in Guatemala, students use math as a means to increase the traditional corn harvest Traditional symbols stamped on cloth in Ghana spark an exploration of geometry, measurement, and data analysis Embroidery patterns from Bulgaria can help younger students learn about patterns, and introduce older students to fractal geometry Klappenspiel, a popular classroom game in Germany, provides a fun application of probability analysis Each chapter has activities for specific grade bands (K–3, 4–8, and 9–12), and all activities are designed to encourage students to discover connections among math concepts, world cultures, and their own daily lives and communities.
